English

Mordell-Weil problem for cubic surfaces

alg-geom 2008-02-03 v1 Algebraic Geometry

Abstract

Drawing the secant through two rational points of a cubic surface we can get the third one. Is the set of rational points finitely generated? We discuss some numerical data and prove a finite generation statement with respect to a modified composition law.

Keywords

Cite

@article{arxiv.alg-geom/9407009,
  title  = {Mordell-Weil problem for cubic surfaces},
  author = {Yu. I. Manin},
  journal= {arXiv preprint arXiv:alg-geom/9407009},
  year   = {2008}
}

Comments

5 pages. AMS-Tex